Heavy quarkonium suppression beyond the adiabatic limit

Boyd, Jacob; Cook, Thomas; Islam, Ajaharul; Strickland, Michael

doi:10.1103/PhysRevD.100.076019

Title: Heavy quarkonium suppression beyond the adiabatic limit

Abstract

Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the three-dimensional Schrödinger equation in real time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the Υ(1s), the difference between the adiabatic approximation and full real-time evolution is at the few percent level; however, for the Υ(2s), we find that the correction can be as large as 18% in low temperature regions. For the J=Ψ, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.

Authors:

Boyd, Jacob; Cook, Thomas; Islam, Ajaharul;

Publication Date:: 2019-10-25

Research Org.:: Kent State Univ., Kent, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1572099

Alternate Identifier(s):: OSTI ID: 1802495

Grant/Contract Number:: SC0013470

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats


                    Boyd, Jacob, Cook, Thomas, Islam, Ajaharul, and Strickland, Michael. Heavy quarkonium suppression beyond the adiabatic limit.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.076019.

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                    Boyd, Jacob, Cook, Thomas, Islam, Ajaharul, & Strickland, Michael. Heavy quarkonium suppression beyond the adiabatic limit.  United States.  https://doi.org/10.1103/PhysRevD.100.076019

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                    Boyd, Jacob, Cook, Thomas, Islam, Ajaharul, and Strickland, Michael. Fri .  
"Heavy quarkonium suppression beyond the adiabatic limit".  United States.  https://doi.org/10.1103/PhysRevD.100.076019.

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@article{osti_1572099,

  title        = {Heavy quarkonium suppression beyond the adiabatic limit},

  author       = {Boyd, Jacob and Cook, Thomas and Islam, Ajaharul and Strickland, Michael},

  abstractNote = {Many prior studies of in-medium quarkonium suppression have implicitly made use of an adiabatic approximation in which it was assumed that the heavy quark potential is a slowly varying function of time. In the adiabatic limit, one can separately determine the in-medium breakup rate and the medium time evolution, folding these together only at the end of the calculation. In this paper, we relax this assumption by solving the three-dimensional Schrödinger equation in real time in order to compute quarkonium suppression dynamically. We compare results obtained using the adiabatic approximation with real-time calculations for both harmonic oscillator and realistic complex heavy quark potentials. Using the latter, we find that, for the Υ(1s), the difference between the adiabatic approximation and full real-time evolution is at the few percent level; however, for the Υ(2s), we find that the correction can be as large as 18% in low temperature regions. For the J=Ψ, we find a larger difference between the dynamical evolution and the adiabatic approximation, with the error reaching approximately 36%.},

  doi          = {10.1103/PhysRevD.100.076019},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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Title: Heavy quarkonium suppression beyond the adiabatic limit

Abstract

Citation Formats

Static quark-antiquark free energy and the running coupling at finite temperature journal, October 2004

Heavy quark master equations in the Lindblad form at high temperatures journal, March 2015

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma journal, June 2018

An overview of (selected) recent results in finite-temperature lattice QCD journal, September 2013

Quarkonium in-medium transport equation derived from first principles journal, May 2019

Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions journal, February 2016

Publisher’s Note: Static quark-antiquark free energy and the running coupling at finite temperature [Phys. Rev. DPRVDAQ0556-2821 70 , 074505 (2004)] journal, September 2005

Highly relativistic nucleus-nucleus collisions: The central rapidity region journal, January 1983

Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma journal, May 2012

Quarkonia in the Quark Gluon Plasma journal, April 2013

Effective-field theories for heavy quarkonium journal, December 2005

Real-time static potential in hot QCD journal, March 2007

Bottomonia suppression in 2.76 TeV Pb-Pb collisions journal, December 2015

Dynamical dissociation of quarkonia by wave function decoherence journal, January 2018

Frontiers of finite temperature lattice QCD journal, January 2017

Quarkonium states in a complex-valued potential journal, May 2011

Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma journal, June 2009

Sequential suppression of quarkonia and high-energy nucleus–nucleus collisions journal, November 2015

Heavy quarkonium: progress, puzzles, and opportunities journal, February 2011

Modeling the nonperturbative contributions to the complex heavy-quark potential journal, August 2019

Approach to equilibrium of a quarkonium in a quark-gluon plasma journal, October 2018

Thermal bottomonium suppression at RHIC and LHC journal, April 2012

Review of Particle Physics journal, August 2018

Charmonium: Comparison with experiment journal, January 1980

Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order journal, October 2010

Quarkonium suppression in heavy-ion collisions: An open quantum system approach journal, August 2017

Quarkonium dissociation in the presence of a small momentum space anisotropy journal, July 2009

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions journal, August 2016

Complete O ( v 2 ) corrections to the static interquark potential from SU(3) gauge theory journal, September 1997

J/ψ suppression by quark-gluon plasma formation journal, October 1986

Quarkonium states in an anisotropic QCD plasma journal, March 2009

Static quark-antiquark pairs at finite temperature journal, July 2008

Real-time quantum dynamics of heavy-quark systems at high temperature journal, February 2013

Color screening and deconfinement for bound states of heavy quarks journal, December 1988

Thermal bottomonium suppression conference, January 2013

The heavy-quark potential in an anisotropic plasma journal, April 2008

The Schrödinger–Langevin equation with and without thermal fluctuations journal, May 2016

Thermal Υ ( 1 s ) and χ b 1 Suppression at ( s N N ) = 2.76 TeV Pb-Pb Collisions at the LHC journal, September 2011

A first look at Bottomonium melting via a stochastic potential journal, April 2014

( 3 + 1 ) D Quasiparticle Anisotropic Hydrodynamics for Ultrarelativistic Heavy-Ion Collisions journal, July 2017

The static hard-loop gluon propagator to all orders in anisotropy journal, September 2017

Bottomonium suppression using a lattice QCD vetted potential journal, January 2018

Heavy quarkonium suppression in a fireball journal, April 2018

Suppression of ϒ(1S), ϒ(2S), and ϒ(3S) quarkonium states in PbPb collisions at s NN = 2.76 TeV journal, July 2017

Bound states of quarks journal, February 1991

Splitting methods journal, January 2002

Static quark-antiquark free energy and the running coupling at finite temperature
journal, October 2004

Heavy quark master equations in the Lindblad form at high temperatures
journal, March 2015

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma
journal, June 2018

An overview of (selected) recent results in finite-temperature lattice QCD
journal, September 2013

Quarkonium in-medium transport equation derived from first principles
journal, May 2019

Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions
journal, February 2016

Publisher’s Note: Static quark-antiquark free energy and the running coupling at finite temperature [Phys. Rev. DPRVDAQ0556-2821 70 , 074505 (2004)]
journal, September 2005

Highly relativistic nucleus-nucleus collisions: The central rapidity region
journal, January 1983

Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
journal, May 2012

Quarkonia in the Quark Gluon Plasma
journal, April 2013

Effective-field theories for heavy quarkonium
journal, December 2005

Real-time static potential in hot QCD
journal, March 2007

Bottomonia suppression in 2.76 TeV Pb-Pb collisions
journal, December 2015

Dynamical dissociation of quarkonia by wave function decoherence
journal, January 2018

Frontiers of finite temperature lattice QCD
journal, January 2017

Quarkonium states in a complex-valued potential
journal, May 2011

Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
journal, June 2009

Sequential suppression of quarkonia and high-energy nucleus–nucleus collisions
journal, November 2015

Heavy quarkonium: progress, puzzles, and opportunities
journal, February 2011

Modeling the nonperturbative contributions to the complex heavy-quark potential
journal, August 2019

Approach to equilibrium of a quarkonium in a quark-gluon plasma
journal, October 2018

Thermal bottomonium suppression at RHIC and LHC
journal, April 2012

Review of Particle Physics
journal, August 2018

Charmonium: Comparison with experiment
journal, January 1980

Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
journal, October 2010

Quarkonium suppression in heavy-ion collisions: An open quantum system approach
journal, August 2017

Quarkonium dissociation in the presence of a small momentum space anisotropy
journal, July 2009

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions
journal, August 2016

Complete ${O (v}^{2})$ corrections to the static interquark potential from SU(3) gauge theory
journal, September 1997

J/ψ suppression by quark-gluon plasma formation
journal, October 1986

Quarkonium states in an anisotropic QCD plasma
journal, March 2009

Static quark-antiquark pairs at finite temperature
journal, July 2008

Real-time quantum dynamics of heavy-quark systems at high temperature
journal, February 2013

Color screening and deconfinement for bound states of heavy quarks
journal, December 1988

Thermal bottomonium suppression
conference, January 2013

The heavy-quark potential in an anisotropic plasma
journal, April 2008

The Schrödinger–Langevin equation with and without thermal fluctuations
journal, May 2016

Thermal $Υ (1 s)$ and $χ_{b 1}$ Suppression at $\sqrt{(} s_{N N}) = 2.76 TeV$ Pb-Pb Collisions at the LHC
journal, September 2011

A first look at Bottomonium melting via a stochastic potential
journal, April 2014

$(3 + 1) D$ Quasiparticle Anisotropic Hydrodynamics for Ultrarelativistic Heavy-Ion Collisions
journal, July 2017

The static hard-loop gluon propagator to all orders in anisotropy
journal, September 2017

Bottomonium suppression using a lattice QCD vetted potential
journal, January 2018

Heavy quarkonium suppression in a fireball
journal, April 2018

Suppression of ϒ(1S), ϒ(2S), and ϒ(3S) quarkonium states in PbPb collisions at $\sqrt{s_{NN}} = 2.76 TeV$
journal, July 2017

Bound states of quarks
journal, February 1991

Splitting methods
journal, January 2002